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27 Mar 2011, 00:04
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If x and y are positive integers and (\sqrt{x})^y=y , then x-y could equal which of the following?
A -2
B -1
C 1
D 2
E 4
OA
can anyone provide a way to get the answer through theory
A -2
B -1
C 1
D 2
E 4
OA
can anyone provide a way to get the answer through theory
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27 Mar 2011, 00:19
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Yeah it is. 4^2= 2^4 Hence x- y = 2-4 =-2. This is intuitive.
Now lets look at algebra.
The stem can be written in this form
x^(y/2) = y
Squaring both sides
x^y =y^2
There are two possibilities. 2^2 = 2^2. Hence x-y = 0 or 2^4= 4^2 Hence x -y = 2-4 = -2.
Now lets look at algebra.
The stem can be written in this form
x^(y/2) = y
Squaring both sides
x^y =y^2
There are two possibilities. 2^2 = 2^2. Hence x-y = 0 or 2^4= 4^2 Hence x -y = 2-4 = -2.
Warlock007
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